Scaling relationships in conical indentation of elastic perfectly plastic solids

Using dimensional analysis and finite element calculations we derive several scaling relationships for conical indentation into elastic-perfectly plastic solids. These scaling relationships provide new insights into the shape of indentation curves and form the basis for understanding indentation measurements, including nano- and micro-indentation techniques. They are also helpful as a guide to numerical and finite element calculations of conical indentation problems. Finally, the scaling relationships are used to reveal the general relationships between hardness, contact area, initial unloading slope, and mechanical properties of solids.

Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters?

Applying the scaling relationships developed recently for conical indentation in elastic-plastic solids with work-hardening, we examine the question of whether stress-strain relationships of such solids can be uniquely determined by matching the calculated loading and unloading curves with that measured experimentally. We show that there can be multiple stress-strain curves for a given set of loading and unloading curves. Consequently, stress-strain relationships may not be uniquely determined from loading and unloading curves alone using a conical or pyramidal indenter.

Relationships between hardness, elastic modulus, and the work of indentation

The work done during indentation is examined using dimensional analysis and finite element calculations for conical indentation in elastic-plastic solids with work hardening. An approximate relationship between the ratio of hardness to elastic modulus and the ratio of irreversible work to total work in indentation is found. Consequently, the ratio of hardness to elastic modulus may be obtained directly from measuring the work of indentation. Together with a well-known relationship between elastic modulus, initial unloading slope, and contact area, a new method is then suggested for estimating the hardness and modulus of solids using instrumented indentation with conical or pyramidal indenters.

Scaling relationships in indentation of power-law creep solids using self-similar indenters

We use dimensional analysis to derive scaling relationships for self-similar indenters indenting solids that exhibit power-law creep. We identify the parameter that represents the indentation strain rate. The scaling relationships are applied to several types of indentation creep experiment with constant displacement rate, constant loading rate or constant ratio of loading rate over load. The predictions compare favourably with experimental observations reported in the literature. Finally, a connection is found between creep and 'indentation-size effect' (i.e. changing hardness with indentation depth or load).

Relationships Between Initial Unloading Slope, Contact Depth, and Mechanical Properties for Conical Indentation in Linear Viscoelastic Solids

Using analytical and finite element modeling, we examine the relationships between initial unloading slope, contact depth, and mechanical properties for spherical indentation in viscoelastic solids with either displacement or load as the independent variable. We then investigate whether the Oliver-Pharr method for determining the contact depth and contact radius, originally proposed for indentation in elastic and elastic-plastic solids, is applicable to spherical indentation in viscoelastic solids. Finally, the analytical and numerical results are used to answer questions raised in recent literature about measuring viscoelastic properties from instrumented spherical indentation experiments.

Humildad, respeto y servicio ante la dignidad personal del embrión humano

Resumen: Ciertamente, ningún dato biológico es por sí mismo suficiente para describir el milagro de la vida. Sin embargo, cuando la ciencia es entendida como un servicio a la humanidad, los científicos son capaces de brindarnos los conocimientos necesarios y suficientes para percibir una presencia personal desde el primer instante de la vida de cada embrión humano.

Mechanical Properties And Constitutive Relationships Of 30Crmnsia Steel Heated At High Rate

In this paper, the mechanical behavior of 30CrMnSiA steel after heating at a high rate are investigated experimentally and theoretically, including a detailed discussion of the effects of strain rate and temperature. Two constitutive models are presented to describe the mechanical response of this material after heating at a high rate, and verified by experimental results. (C) 2007 Elsevier B.V. All rights reserved.

Experimental Verification And Theoretical Analysis Of The Relationships Between Hardness, Elastic Modulus, And The Work Of Indentation

The relationship between hardness (H), reduced modulus (E-r), unloading work (W-u), and total work (W-t) of indentation is examined in detail experimentally and theoretically. Experimental study verifies the approximate linear relationship. Theoretical analysis confirms it. Furthermore, the solutions to the conical indentation in elastic-perfectly plastic solid, including elastic work (W-e), H, W-t, and W-u are obtained using Johnson's expanding cavity model and Lame solution. Consequently, it is found that the W-e should be distinguished from W-u, rather than their equivalence as suggested in ISO14577, and (H/E-r)/(W-u/W-t) depends mainly on the conical angle, which are also verified with numerical simulations. (C) 2008 American Institute of Physics.

Las motivaciones personales fundamentales. Piedras angulares de la existencia

El desarrollo y la realización personal dependen, según el Análisis Existencial, del éxito en la confrontación con los “Temas Existenciales” de la vida. En el Análisis Existencial moderno la multiplicidad de estos temas pudo ser reducida a cuatro estructuras, que es posible considerar fundamentos de una existencia realizada, y pueden servir de modelos para una “pedagogía existencial” como para una “psicología existencial” y psicoterapia existencial, siempre orientada al desenvolvimiento de la persona; su bloqueo o un desarrollo insuficiente llevan, por el contrario, a trastornos psíquicos. La condición existencial del ser humano es básicamente dialógica, los temas fundamentales están en el acuerdo con lo fáctico y las condiciones del Dasein, con el hecho de la propia vida y con sus sentimientos y relaciones, con su propia individualidad (ser uno mismo, autonomía, autenticidad), y en definitiva, con el proceso de llegar a ser, que implica futuro y sentido.

“Y a medida que el trabajo de la muerte avanzaba, y el aire se volvía más calmado, los ruidos de la artillería pesada parecían sacudir los techos de las iglesias sobre las aterrorizadas gentes que se reunían en ellas” : la otra guerra de la independencia

La Guerra de la Independencia, según la denominación tradicional de la historiografía española o The Peninsular Wars, como se suele denominar ese acontecimiento por los historiadores de habla inglesa, se perfila como uno de esos momentos en que las relaciones hispano-británicas adquieren una intensidad especial. De esa colaboración, de ese acto de comunicación intensa entre combatientes de un mismo enemigo, surgen unas manifestaciones literarias y muchos más relatos y diarios escritos por oficiales e incluso simples soldados del ejército de su majestad que contienen todo un tesoro de anécdotas, descripciones, y, principalmente, valoraciones dignas de analizar y hasta de disfrutar. Se trata, en este caso, de una recopilación de vivencias muy personales, en la mayoría de las ocasiones muy dolorosas, como cabría esperar de una guerra, y que a menudo ofrecen juicios y opiniones de España y Portugal que revelan una actitud paternalista y crítica.